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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Sep. 30, 2022
Income Tax Disclosure [Abstract]      
Income tax expense $ 7.1 $ 13.0  
Effective Income Tax Rate Reconciliation, Percent 25.40% 24.30%  
Deferred Income Tax Liabilities, Net of Deferred Income Tax Assets $ (33.7)   $ (35.9)
Deferred Tax Assets, Valuation Allowance 1.0   1.0
Deferred tax liability, net $ (34.7)   $ (36.9)